A new extended discrete KP hierarchy and generalized dressing method

Abstract

Inspired by the squared eigenfunction symmetry constraint, we introduce a new $\ta_k$-flow by ``extending'' a specific $t_n$-flow of discrete KP hierarchy (DKPH). We construct extended discrete KPH (exDKPH), which consists of $t_n$-flow, $\ta_k$-flow and $t_n$ evolution of eigenfunction and adjoin eigenfunctions, and its Lax representation. The exDKPH contains two types of discrete KP equation with self-consistent sources (DKPESCS). Two reductions of exDKPH are obtained. The generalized dressing approach for solving the exDKPH is proposed and the N-soliton solutions of two types of the DKPESCS are presented.

12 pages, to appear in J. Phys. A

References in corpus (3)

• A new extended KP hierarchy
• A Generalized Dressing Approach for Solving the Extended KP and the Extended mKP Hierarchy
• A new multi-component two dimensional Toda lattice hierarchy and two dimensional Toda lattice with self-consistent sources

Cited by in corpus (2)

• Discrete KP equation with self-consistent sources
• A new $({\gamma }_n,{\sigma }_k)-$ KP hierarchy and generalized dressing method